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Finding the Third Proportional to 269,462 and 449,121

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Solution

The third proportional to 269,462 and 449,121 is: 748,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,462 : 449,121 = 449,121 : x
  2. Step 2: Convert to fraction form
    269,462/449,121 = 449,121/x
  3. Step 3: Cross multiply
    269,462x = 449,121 × 449,121
  4. Step 4: Simplify right side
    269,462x = 201,709,672,641
  5. Step 5: Solve for x
    x = 201,709,672,641/269,462
  6. Step 6: Final answer
    x = 748,564.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.